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Finding the Fourth Proportional to 466.68, 699.42 and 206.76

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Solution

The fourth proportional to 466.68, 699.42 and 206.76 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 699.42 = 206.76 : x
  2. Step 2: Convert to fraction form
    466.68/699.42 = 206.76/x
  3. Step 3: Cross multiply
    466.68x = 699.42 × 206.76
  4. Step 4: Simplify right side
    466.68x = 144,610.38
  5. Step 5: Solve for x
    x = 144,610.38/466.68
  6. Step 6: Final answer
    x = 309.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.